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1 answer:
From the graph, the equation of f(x) + g(x) is f(x) + g(x) = 2x + 3
<h3>How to determine the graph of f(x) + g(x)?</h3>The functions are given as:
f(x) = x + 3
g(x) = x
From the above functions, we can see that the function g(x) is the parent function of a linear function.
When the parent function of a linear function is added to another function to form a composite function, the new function would pass through the following points
(x, y)= (0, b) and (-b, -b)
Where b is the y-intercept of the other function
i.e b = 3 from f(x) = x + 3
So, we have the following points
(0, 3) and (-3, -3)
Next, we draw the points and we connect the points
When the equation of f(x) + g(x) is calculated, we have
f(x) + g(x) = 2x + 3
See attachment for the graph of the functions
Read more about composite functions at:
#SPJ1
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Answer:
Step-by-step explanation:
Without loss of generality, let and
(follows tan(C)=2.4). In a right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side and the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
We can use the Pythagorean Theorem (, where
is the hypotenuse) to solve for the hypotenuse:
Therefore,